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In the polynomial f(x)=3x3−2x+5f(x) = 3x^3 - 2x + 5f(x)=3x3−2x+5, what is the coefficient of x3x^3x3?

A

To show x2+4x+7>0x^2 + 4x + 7 > 0x2+4x+7>0 for all xxx, complete the square to get (x+2)2+3\boxed{(x + 2)^2 + 3}(x+2)2+3​.

B

3

C

A root (or zero) of f(x)f(x)f(x) is a value of xxx that makes f(x)=0\boxed{f(x) = 0}f(x)=0​.

D

A proof shows a statement is true for all cases, while a counterexample shows it is false for one case.

Card 1 of 23

Algebraic Methods Flashcards

  1. A Level
  2. /Maths
  3. /Algebraic Methods

23 flashcards on Edexcel A Level Maths Algebraic Methods: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.

Flashcards